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The sum of two numbers is 52 and their difference is 2. The numbers are
- a)17 and 15
- b)12 and 10
- c)27 and 25
- d)none of these
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
The sum of two numbers is 52 and their difference is 2. The numbers ar...
Their sum is 52, so:
52 = x + (x+2)
52 = x + x + 2
50 = x + x
50 = 2x
25 = x
So your unknown numbers x and (x+2) are 25 and 27.
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The sum of two numbers is 52 and their difference is 2. The numbers ar...
Given information
- Sum of two numbers is 52.
- Difference of two numbers is 2.
To find
The two numbers.
Solution
Let's assume the two numbers to be x and y.
From the given information, we have two equations as follows.
Equation 1: x + y = 52 ——— (1) (sum of two numbers is 52)
Equation 2: x - y = 2 ——— (2) (difference of two numbers is 2)
We can solve these two equations simultaneously to find the values of x and y.
Method 1: Add Equation 1 and Equation 2
x + y = 52
x - y = 2
-------------
2x = 54
x = 27
Substitute x = 27 in Equation 1
x + y = 52
27 + y = 52
y = 52 - 27
y = 25
Therefore, the two numbers are 27 and 25.
Method 2: Subtract Equation 2 from Equation 1
x + y = 52
x - y = 2
-------------
2x = 54
x = 27
Substitute x = 27 in Equation 2
x - y = 2
27 - y = 2
y = 27 - 2
y = 25
Therefore, the two numbers are 27 and 25.
Answer
Hence, option (c) 27 and 25 is the correct answer.
- Sum of two numbers is 52.
- Difference of two numbers is 2.
To find
The two numbers.
Solution
Let's assume the two numbers to be x and y.
From the given information, we have two equations as follows.
Equation 1: x + y = 52 ——— (1) (sum of two numbers is 52)
Equation 2: x - y = 2 ——— (2) (difference of two numbers is 2)
We can solve these two equations simultaneously to find the values of x and y.
Method 1: Add Equation 1 and Equation 2
x + y = 52
x - y = 2
-------------
2x = 54
x = 27
Substitute x = 27 in Equation 1
x + y = 52
27 + y = 52
y = 52 - 27
y = 25
Therefore, the two numbers are 27 and 25.
Method 2: Subtract Equation 2 from Equation 1
x + y = 52
x - y = 2
-------------
2x = 54
x = 27
Substitute x = 27 in Equation 2
x - y = 2
27 - y = 2
y = 27 - 2
y = 25
Therefore, the two numbers are 27 and 25.
Answer
Hence, option (c) 27 and 25 is the correct answer.
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The sum of two numbers is 52 and their difference is 2. The numbers area)17 and 15b)12 and 10c)27 and 25d)none of theseCorrect answer is option 'C'. Can you explain this answer?
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